Search a number
-
+
3392424 = 2332753127
BaseRepresentation
bin1100111100001110101000
320101100112100
430330032220
51332024144
6200413400
740556310
oct14741650
96340470
103392424
111a07862
121177260
1391a169
14644440
15470269
hex33c3a8

3392424 has 96 divisors (see below), whose sum is σ = 10782720. Its totient is φ = 943488.

The previous prime is 3392341. The next prime is 3392443. The reversal of 3392424 is 4242933.

It is a happy number.

3392424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5184) is a multiple of the sum of its prime divisors (192).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26649 + ... + 26775.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 23392424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391360).

3392424 is an abundant number, since it is smaller than the sum of its proper divisors (7390296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3392424 is a wasteful number, since it uses less digits than its factorization.

3392424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3392424 is about 1841.8534143628. The cubic root of 3392424 is about 150.2576903843.

The spelling of 3392424 in words is "three million, three hundred ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 127 159 168 212 252 254 318 371 381 424 477 504 508 636 742 762 889 954 1016 1113 1143 1272 1484 1524 1778 1908 2226 2286 2667 2968 3048 3339 3556 3816 4452 4572 5334 6678 6731 7112 8001 8904 9144 10668 13356 13462 16002 20193 21336 26712 26924 32004 40386 47117 53848 60579 64008 80772 94234 121158 141351 161544 188468 242316 282702 376936 424053 484632 565404 848106 1130808 1696212 3392424